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Question Number 209892    Answers: 2   Comments: 0

find 40^(71) mod 437. thanks its 67 but how?

$${find}\:\:\mathrm{40}^{\mathrm{71}} {mod}\:\mathrm{437}.\:\:\:{thanks} \\ $$$${its}\:\mathrm{67}\:{but}\:{how}? \\ $$

Question Number 209860    Answers: 2   Comments: 0

Magnitude A varies proportionally with (B squared + 4) and magnitude B varies proportionally with (the root of C) βˆ’ 5. Also when A is 16 , B is 12 and C takes the value 81. Calculate the value that A takes when C is 49. help me. please. thanks

$$ \\ $$$$\mathrm{Magnitude}\:\mathrm{A}\:\mathrm{varies}\:\mathrm{proportionally}\:\mathrm{with}\:\left(\mathrm{B}\:\mathrm{squared}\:+\:\mathrm{4}\right)\:\mathrm{and}\:\mathrm{magnitude}\:\mathrm{B}\:\mathrm{varies}\:\mathrm{proportionally}\:\mathrm{with} \\ $$$$\left({t}\mathrm{he}\:\mathrm{root}\:\mathrm{of}\:\mathrm{C}\right)\:βˆ’\:\mathrm{5}.\:\mathrm{Also}\:\mathrm{when}\:\mathrm{A}\:\mathrm{is}\:\mathrm{16}\:,\:\mathrm{B}\:\mathrm{is}\:\mathrm{12}\:\mathrm{and}\:\mathrm{C}\:\mathrm{takes}\:\mathrm{the}\:\mathrm{value}\:\mathrm{81}.\:\mathrm{Calculate}\:\mathrm{the}\:\mathrm{value}\:\mathrm{that}\:\mathrm{A}\:\mathrm{takes} \\ $$$$\mathrm{wh}{e}\mathrm{n}\:\mathrm{C}\:\mathrm{is}\:\mathrm{49}.\:\:\:{help}\:\:{me}.\:{please}.\:{thanks} \\ $$

Question Number 209744    Answers: 4   Comments: 0

Question Number 209604    Answers: 0   Comments: 0

Question Number 209602    Answers: 2   Comments: 0

Question Number 209598    Answers: 3   Comments: 0

Question Number 209460    Answers: 0   Comments: 0

Question Number 209453    Answers: 2   Comments: 1

Question Number 209452    Answers: 2   Comments: 0

Question Number 209342    Answers: 1   Comments: 0

Question Number 209167    Answers: 2   Comments: 0

please convert 2531_((5000) ) to base 5002. thanks.

$${please}\:{convert}\:\:\mathrm{2531}_{\left(\mathrm{5000}\right)\:} {to}\:\:{base}\:\mathrm{5002}.\:\:{thanks}.\:\: \\ $$

Question Number 209166    Answers: 1   Comments: 0

Question Number 209128    Answers: 2   Comments: 0

Question Number 209127    Answers: 1   Comments: 0

Question Number 209126    Answers: 2   Comments: 0

Question Number 209123    Answers: 2   Comments: 0

Question Number 209066    Answers: 1   Comments: 1

Question Number 208980    Answers: 1   Comments: 0

please . find 2^(11001^(666) ) mod 23 thanks.

$${please}\:.\:\:\:\:\:{find}\:\:\mathrm{2}^{\mathrm{11001}^{\mathrm{666}} } {mod}\:\mathrm{23}\:\:\:\:\:\:\:\:{thanks}. \\ $$

Question Number 208876    Answers: 2   Comments: 7

The 𝚌aπš•πšŽπš—πšπšŠπš› 𝚘𝚏 πšπš‘πšŽ πš’πšŽπšŠπš› 2024 πš’πšœ πšπš‘πšŽ πšœπšŠπš–πšŽ πšπš˜πš› 𝙰.2044 𝙱.2032 𝙲.2040 𝙳.2036

The 𝚌aπš•πšŽπš—πšπšŠπš› 𝚘𝚏 πšπš‘πšŽ πš’πšŽπšŠπš› 2024 πš’πšœ πšπš‘πšŽ πšœπšŠπš–πšŽ πšπš˜πš› 𝙰.2044 𝙱.2032 𝙲.2040 𝙳.2036

Question Number 208445    Answers: 1   Comments: 0

u_(n+1) = u_n βˆ’u_n ^3 , u_0 ∈]0,1[ v_n = (1/u_(n+1) ^2 )βˆ’(1/u_n ^2 ) = f(u_n ^2 ) ; f(x) = ((2βˆ’x)/((1βˆ’x)^2 )) v_n converges to 2, v_n is decreasing . show that v_n β‰₯ 2 x_n =(1/(n+1))Ξ£_(m=0) ^m (v_m ) . show that x_0 β‰₯x_n β‰₯v_n . show that x_n is decreasing and lim_(nβ†’βˆž) x_n = l β‰₯2 . show that 2x_(n+1) βˆ’x_n ≀v_(n+1) and deduce l . express x_(n+1) βˆ’x_n interms of u_n . deduce lim_(nβ†’βˆž) nu_n ^2

$$\left.{u}_{{n}+\mathrm{1}} \:=\:{u}_{{n}} βˆ’{u}_{{n}} ^{\mathrm{3}} ,\:{u}_{\mathrm{0}} \in\right]\mathrm{0},\mathrm{1}\left[\right. \\ $$$${v}_{{n}} \:=\:\frac{\mathrm{1}}{{u}_{{n}+\mathrm{1}} ^{\mathrm{2}} }βˆ’\frac{\mathrm{1}}{{u}_{{n}} ^{\mathrm{2}} }\:=\:{f}\left({u}_{{n}} ^{\mathrm{2}} \right)\:;\:{f}\left({x}\right)\:=\:\frac{\mathrm{2}βˆ’{x}}{\left(\mathrm{1}βˆ’{x}\right)^{\mathrm{2}} } \\ $$$${v}_{{n}} \:{converges}\:{to}\:\mathrm{2},\:{v}_{{n}} \:{is}\:{decreasing} \\ $$$$.\:{show}\:{that}\:{v}_{{n}} \:\geqslant\:\mathrm{2} \\ $$$${x}_{{n}} =\frac{\mathrm{1}}{{n}+\mathrm{1}}\underset{{m}=\mathrm{0}} {\overset{{m}} {\sum}}\left({v}_{{m}} \right) \\ $$$$.\:{show}\:{that}\:{x}_{\mathrm{0}} \geqslant{x}_{{n}} \geqslant{v}_{{n}} \\ $$$$.\:{show}\:{that}\:{x}_{{n}} \:{is}\:{decreasing}\:{and}\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}{x}_{{n}} =\:{l}\:\geqslant\mathrm{2} \\ $$$$.\:{show}\:{that}\:\mathrm{2}{x}_{{n}+\mathrm{1}} βˆ’{x}_{{n}} \leqslant{v}_{{n}+\mathrm{1}} \:{and}\:{deduce}\:{l} \\ $$$$.\:{express}\:{x}_{{n}+\mathrm{1}} βˆ’{x}_{{n}} \:{interms}\:{of}\:{u}_{{n}} \\ $$$$.\:{deduce}\:\underset{{n}\rightarrow\infty} {\mathrm{lim}}{nu}_{{n}} ^{\mathrm{2}} \\ $$

Question Number 208293    Answers: 1   Comments: 0

W Z_( ∩ + (( determinant ()2)/))

Question Number 208217    Answers: 3   Comments: 0

1^2 +2^2 +3^2 +5^2 +8^2 +13^2 +21^2 =?

$$\mathrm{1}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} +\mathrm{5}^{\mathrm{2}} +\mathrm{8}^{\mathrm{2}} +\mathrm{13}^{\mathrm{2}} +\mathrm{21}^{\mathrm{2}} =? \\ $$

Question Number 207979    Answers: 1   Comments: 3

generate nth term for the sequence: 1, 1, 1, 2, 3, 5, 9, 18, 35, 75

generate nth term for the sequence: 1, 1, 1, 2, 3, 5, 9, 18, 35, 75

Question Number 207731    Answers: 2   Comments: 0

⇃

$$\:\:\:\downharpoonleft\underline{\:} \\ $$

Question Number 207594    Answers: 2   Comments: 0

((xcosΞΈ)/a) + ((ysinΞΈ)/b) = 1 xsinΞΈ βˆ’ ycosΞΈ = (√(a^2 sin^2 ΞΈ + b^2 cos^2 ΞΈ)) Eliminate ΞΈ.

$$\frac{{x}\mathrm{cos}\theta}{{a}}\:+\:\frac{{y}\mathrm{sin}\theta}{{b}}\:=\:\mathrm{1} \\ $$$${x}\mathrm{sin}\theta\:βˆ’\:{y}\mathrm{cos}\theta\:=\:\sqrt{{a}^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \theta\:+\:{b}^{\mathrm{2}} \mathrm{cos}^{\mathrm{2}} \theta} \\ $$$$\mathrm{Eliminate}\:\theta. \\ $$

Question Number 207546    Answers: 1   Comments: 0

The real roots of the equation x^2 +6x+c=0 differ by 2n, where n is a real nonβˆ’zero. Show that n^2 =9βˆ’c Given that the roots also have opposite signs, find the set of possible values of n

$$\mathrm{The}\:\mathrm{real}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}^{\mathrm{2}} +\mathrm{6x}+\mathrm{c}=\mathrm{0} \\ $$$$\mathrm{differ}\:\mathrm{by}\:\mathrm{2n},\:\mathrm{where}\:\mathrm{n}\:\mathrm{is}\:\mathrm{a}\:\mathrm{real}\:\mathrm{non}βˆ’\mathrm{zero}. \\ $$$$\mathrm{Show}\:\mathrm{that}\:\mathrm{n}^{\mathrm{2}} =\mathrm{9}βˆ’\mathrm{c} \\ $$$$\mathrm{Given}\:\mathrm{that}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{also}\:\mathrm{have}\:\mathrm{opposite} \\ $$$$\mathrm{signs},\:\mathrm{find}\:\mathrm{the}\:\mathrm{set}\:\mathrm{of}\:\mathrm{possible}\:\mathrm{values}\:\mathrm{of}\:\mathrm{n} \\ $$

Question Number 207416    Answers: 2   Comments: 0

$$\:\:\: \\ $$

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